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13903488 = 2736149
BaseRepresentation
bin110101000010…
…011010000000
3222011101000000
4311002122000
512024402423
61214000000
7226114644
oct65023200
928141000
1013903488
117936995
1247a6000
132b5a521
141bbcc24
151349843
hexd42680

13903488 has 112 divisors (see below), whose sum is σ = 41807250. Its totient is φ = 4603392.

The previous prime is 13903481. The next prime is 13903517. The reversal of 13903488 is 88430931.

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 419904 = 3672^2 + 648^2 .

It is a super-2 number, since 2×139034882 = 386613957132288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13903481) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93238 + ... + 93386.

Almost surely, 213903488 is an apocalyptic number.

13903488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13903488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903625).

13903488 is an abundant number, since it is smaller than the sum of its proper divisors (27903762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13903488 is an frugal number, since it uses more digits than its factorization.

13903488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13903488 is about 3728.7381243525. The cubic root of 13903488 is about 240.4591211390.

The spelling of 13903488 in words is "thirteen million, nine hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 149 162 192 216 243 288 298 324 384 432 447 486 576 596 648 729 864 894 972 1152 1192 1296 1341 1458 1728 1788 1944 2384 2592 2682 2916 3456 3576 3888 4023 4768 5184 5364 5832 7152 7776 8046 9536 10368 10728 11664 12069 14304 15552 16092 19072 21456 23328 24138 28608 31104 32184 36207 42912 46656 48276 57216 64368 72414 85824 93312 96552 108621 128736 144828 171648 193104 217242 257472 289656 386208 434484 514944 579312 772416 868968 1158624 1544832 1737936 2317248 3475872 4634496 6951744 13903488